138461294100480
138,461,294,100,480 is an even composite number composed of seven prime numbers multiplied together.
138461294100480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred seventy-two divisors.
Prime factorization of 138461294100480:
222 × 3 × 5 × 13 × 31 × 43 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 31 × 43 × 127)See below for interesting mathematical facts about the number 138461294100480 from the Numbermatics database.
Names of 138461294100480
- Cardinal: 138461294100480 can be written as One hundred thirty-eight trillion, four hundred sixty-one billion, two hundred ninety-four million, one hundred thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3846129410048 × 1014
Factors of 138461294100480
Divisors of 138461294100480
- Number of divisors d(n): 1472
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 32 39 40 43 48 52 60 62 64 65 78 80 86 93 96 104 120 124 127 128 129 130 155 156 160 172 186 192 195 208 215 240 248 254 256 258 260 310 312 320 344 372 381 384 390 403 416 430 465 480 496 508 512 516 520 559 620 624 635 640 645 688 744 762 768 780 806 832 860 930 960 992 1016 1024 1032 1040 1118 1209 1240 1248 1270 1280 1290 1333 1376 1488 1524 1536 1560 1612 1651 1664 1677 1720 1860 1905 1920 1984 2015 2032 2048 2064 2080 2236 2418 2480 2496 2540 2560 2580 2666 2752 2795 2976 3048 3072 3120 3224 3302 3328 3354 3440 3720 3810 3840 3937 3968 3999 4030 4064 4096 4128 4160 4472 4836 4953 4960 4992 5080 5120 5160 5332 5461 5504 5590 5952 6045 6096 6144 6240 6448 6604 6656 6665 6708 6880 7440 7620 7680 7874 7936 7998 8060 8128 8192 8255 8256 8320 8385 8944 9672 9906 9920 9984 10160 10240 10320 10664 10922 11008 11180 11811 11904 12090 12192 12288 12480 12896 13208 13312 13330 13416 13760 14880 15240 15360 15748 15872 15996 16120 16256 16383 16384 16510 16512 16640 16770 17329 17888 19344 19685 19812 19840 19968 19995 20320 20480 20640 21328 21844 22016 22360 23622 23808 24180 24384 24576 24765 24960 25792 26416 26624 26660 26832 27305 27520 29760 30480 30720 31496 31744 31992 32240 32512 32766 32768 33020 33024 33280 33540 34658 35776 38688 39370 39624 39680 39936 39990 40640 40960 41280 42656 43688 44032 44720 47244 47616 48360 48768 49152 49530 49920 51181 51584 51987 52832 53248 53320 53664 54610 55040 59055 59520 60960 61440 62992 63488 63984 64480 65024 65532 65536 66040 66048 66560 67080 69316 70993 71552 77376 78740 79248 79360 79872 79980 81280 81915 81920 82560 85312 86645 87376 88064 89440 94488 95232 96720 97536 98304 99060 99840 102362 103168 103974 105664 106496 106640 107328 109220 110080 118110 119040 121920 122880 125984 126976 127968 128960 130048 131064 131072 132080 132096 133120 134160 138632 141986 143104 153543 154752 157480 158496 158720 159744 159960 162560 163830 163840 165120 169291 170624 173290 174752 176128 178880 188976 190464 193440 195072 196608 198120 199680 204724 206336 207948 211328 212979 212992 213280 214656 218440 220160 236220 238080 243840 245760 251968 253952 255905 255936 257920 259935 260096 262128 262144 264160 264192 266240 268320 277264 283972 286208 307086 309504 314960 316992 317440 319488 319920 325120 327660 327680 330240 338582 341248 346580 349504 352256 354965 357760 377952 380928 386880 390144 393216 396240 399360 409448 412672 415896 422656 425958 425984 426560 429312 436880 440320 472440 476160 487680 491520 503936 507873 507904 511810 511872 515840 519870 520192 524256 524288 528320 528384 532480 536640 554528 567944 572416 614172 619008 629920 633984 634880 638976 639840 650240 655320 655360 660480 677164 682496 693160 699008 704512 709930 715520 755904 761856 767715 773760 780288 786432 792480 798720 818896 825344 831792 845312 846455 851916 851968 853120 858624 873760 880640 944880 952320 975360 983040 1007872 1015746 1015808 1023620 1023744 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54512320512 55473274880 55831166976 57262735360 61923655680 66567929856 67083960320 67608053760 68140400640 68715282432 69788958720 72115257344 72683094016 74441555968 80500752384 82564874240 83209912320 83865108480 85894103040 88757239808 90144071680 90853867520 93051944960 100625940480 103871938560 107334336512 108172886016 109024641024 110946549760 111662333952 114525470720 123847311360 133135859712 134167920640 135216107520 136280801280 139577917440 144230514688 148883111936 161001504768 166419824640 171788206080 177514479616 180288143360 181707735040 186103889920 201251880960 214668673024 216345772032 218049282048 221893099520 223324667904 247694622720 266271719424 268335841280 270432215040 272561602560 279155834880 288461029376 297766223872 322003009536 332839649280 343576412160 355028959232 360576286720 363415470080 372207779840 402503761920 432691544064 443786199040 446649335808 532543438848 536671682560 540864430080 545123205120 558311669760 576922058752 644006019072 665679298560 710057918464 721152573440 744415559680 805007523840 865383088128 887572398080 893298671616 1065086877696 1073343365120 1081728860160 1090246410240 1116623339520 1153844117504 1331358597120 1442305146880 1488831119360 1610015047680 1730766176256 1775144796160 2130173755392 2163457720320 2233246679040 2307688235008 2662717194240 2884610293760 3220030095360 3461532352512 3550289592320 4326915440640 4466493358080 4615376470016 5325434388480 5769220587520 6923064705024 8653830881280 9230752940032 10650868776960 11538441175040 13846129410048 17307661762560 23076882350080 27692258820096 34615323525120 46153764700160 69230647050240 138461294100480
- Sum of all divisors σ(n): 507974311477248
- Sum of proper divisors (its aliquot sum) s(n): 369513017376768
- 138461294100480 is an abundant number, because the sum of its proper divisors (369513017376768) is greater than itself. Its abundance is 231051723276288
Bases of 138461294100480
- Binary: 111110111101110000010000100000000000000000000002
- Hexadecimal: 0x7DEE08400000
- Base-36: 1D2W8NJJEO
Squares and roots of 138461294100480
- 138461294100480 squared (1384612941004802) is 19171529963979617652336230400
- 138461294100480 cubed (1384612941004803) is 2654514848698746580548388565972882030592000
-
The
square root of 138461294100480 is 11766957.7249380819 -
The
cube root of 138461294100480 is 51734.0083427235
Scales and comparisons
How big is 138461294100480?- 138,461,294,100,480 seconds is equal to 4,402,640 years, 44 weeks, 6 days, 7 hours, 28 minutes.
-
To count from 1 to 138,461,294,100,480 would take you about eleven million, six thousand, six hundred two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138461294100480 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138461294100480
- 138461294100480 backwards is 084001492164831
- The number of decimal digits it has is: 15
- The sum of 138461294100480's digits is 51
- More coming soon!
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"Number 138461294100480 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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The information we have on file for 138461294100480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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